### Beginning of stability theory for Polish Spaces

by Shelah. [Sh:849]

Israel J Math, 2016

We consider stability theory for Polish spaces, and more
generally, for definable structures (say with elements of a set of
reals). We clarify by proving some equivalent conditions for
aleph_0-stability. We succeed to prove existence of indiscernibles
under reasonable conditions; this provides strong evidence that such
a theory exists.

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